Solution Found!
Using Appendix F, along with the fact that the earth spins
Chapter 11, Problem 19E(choose chapter or problem)
Using Appendix F, along with the fact that the earth spins on its axis once per day, calculate (a) the earth’s orbital angular speed (in rad/s) due to its motion around the sun, (b) its angular speed (in rad/s) due to its axial spin, (c) the tangential speed of the earth around the sun (assuming a circular orbit), (d) the tangential speed of a point on the earth’s equator due to the planet’s axial spin, and (e) the radial and tangential acceleration components of the point in part (d).
Questions & Answers
QUESTION:
Using Appendix F, along with the fact that the earth spins on its axis once per day, calculate (a) the earth’s orbital angular speed (in rad/s) due to its motion around the sun, (b) its angular speed (in rad/s) due to its axial spin, (c) the tangential speed of the earth around the sun (assuming a circular orbit), (d) the tangential speed of a point on the earth’s equator due to the planet’s axial spin, and (e) the radial and tangential acceleration components of the point in part (d).
ANSWER:Solution 19E Step 1: (a).As the earth orbits the sun,the earth makes 1 revolution(2 rad)in one year.taking the positive direction for the angular displacement to be the direction of the earth’s orbital motion,the angular displacement in one year is = 2.the average angular velocity is orbit 365 ¼ days convert into seconds. w = () orbit(t)orbit w = 2 rad/(365 1/4 days)(24 h/1 day)(3600 s/1 h) w = 2.0 × 10 7 rad/s.